LCM of 989, 668, 420, 232, 595
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 668, 420, 232, 595 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 989, 668, 420, 232, 595. So, keep reading to learn more.
Given numbers are 989,668,420,232,595
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,668,420,232,595 is 68397301560.
Find LCM of 989,668,420,232,595 with Prime Factorization
| 2 | 989, 668, 420, 232, 595 |
| 2 | 989, 334, 210, 116, 595 |
| 5 | 989, 167, 105, 58, 595 |
| 7 | 989, 167, 21, 58, 119 |
| 989, 167, 3, 58, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 989 x 167 x 3 x 58 x 17 = 68397301560
Therefore, the lowest common multiple of 989,668,420,232,595 is 68397301560.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
989 x 668 x 420 x 232 x 595 = 38302488873600
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
989 : 1, 23, 43, 989
668 : 1, 2, 4, 167, 334, 668
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
232 : 1, 2, 4, 8, 29, 58, 116, 232
595 : 1, 5, 7, 17, 35, 85, 119, 595
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,668,420,232,595, is 1.
Now, the common factors can be found like this.
989:23x 43
668:2x 2x 167
420:2x 2x 3x 5x 7
232:2x 2x 2x 29
595:5x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 7 = 560
Therefore, the value for common factors is 560.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 38302488873600/(1x560)
LCM = 38302488873600/560
LCM = 68397301560
Thus, we can understand that the LCM of 989,668,420,232,595 is 68397301560.
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FAQs on LCM of 989, 668, 420, 232, 595
1. What is the LCM of 989, 668, 420, 232, 595?
Answer: LCM of 989, 668, 420, 232, 595 is 68397301560.
2. How to calculate the LCM of 989, 668, 420, 232, 595?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 989, 668, 420, 232, 595.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.